Three-point functions and operator product expansion in the SL(2) conformal field theory

Abstract

In the SL(2) conformal field theory, we write down and analyze the analytic expression of the three-point functions of generic primary fields with definite SL(2) weights. Using these results, we discuss the operator product expansion in the SL(2,R) WZW model. We propose a prescription of the OPE, the classical limit of which is in precise agreement with the tensor products of the representations of SL(2,R).

21 pages, latex; (v3) discussions added, to appear in Nucl.Phys.B

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• Strings in AdS_3 and the SL(2,R) WZW Model. Part 3: Correlation Functions
• Correlators in AdS_3 string theory
• Crossing Symmetry in the $H_3^{+}$ WZNW model
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